Atkin-Lehner |
2- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
81340p |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-16817542190750000 = -1 · 24 · 56 · 76 · 833 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59845,-8387350] |
[a1,a2,a3,a4,a6] |
Generators |
[310:1660:1] |
Generators of the group modulo torsion |
j |
-12592337649664/8934171875 |
j-invariant |
L |
4.9415078742739 |
L(r)(E,1)/r! |
Ω |
0.14799461492868 |
Real period |
R |
1.8549878676615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1660a2 |
Quadratic twists by: -7 |